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Finding the Third Proportional to 4,847,493 and 7,516,210.50

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Solution

The third proportional to 4,847,493 and 7,516,210.50 is: 11,654,152.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847,493 : 7,516,210.50 = 7,516,210.50 : x
  2. Step 2: Convert to fraction form
    4,847,493/7,516,210.50 = 7,516,210.50/x
  3. Step 3: Cross multiply
    4,847,493x = 7,516,210.50 × 7,516,210.50
  4. Step 4: Simplify right side
    4,847,493x = 56,493,420,280,310.25
  5. Step 5: Solve for x
    x = 56,493,420,280,310.25/4,847,493
  6. Step 6: Final answer
    x = 11,654,152.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.